Question

find the roots of equation : xsqrt +2root 6 - 6​

Answer 1

Answer:

x = 1.02, -5.9.

Step-by-step explanation:

x² + 2√6 - 6

x = (-b ± √(b² - 4ac)) / 2a    # Quadratic Equation

Here, a = 1, b = 2√6, c = -6

x = (-2√6 ± √((2√6)² - 4 (-6))) / 2

x = (-2√6 ±√(24 + 24)) / 2

x = (-2√6 ±√48) / 2

x = (-2√6 ± 4√3) / 2

x = (-2√6 + 4√3) / 2, x = (-2√6 - 4√3) / 2

x = (-4.88 + 6.92) / 2, x = (-4.88 - 6.92) / 2

x = 2.04 / 2, x = -11.8 / 2

x = 1.02, x = -5.9.

∴ x = 1.02, -5.9.